Question

The bulk modulus of a liquid is \( 3 \times 10^{10} Nm ^{-2} \). The pressure required to reduce the volume of liquid by \( 2 \% \) is 

(A) \( 3 \times 10^{8} Nm ^{-2} \)

(B) \( 9 \times 10^{8} Nm ^{-2} \) 

(C) \( 6 \times 10^{8} Nm ^{-2} \) 

(D) \( 12 \times 10^{8} Nm ^{-2} \)

Answer 1

Bulk modulus

\(B = \frac{-p}{\left(\frac{\Delta V}{V}\right)}\)

\(P= B.\left(\frac{\Delta V}{V}\right)\)

\(P = 3\times 10^{10} \times\frac2{100}\)

\(P = 6 \times 10^8 Nm^{-2}\)